A ball is whirled on the end of a string in a horizontal circle of radius R at a speed v. Complete the following statement: The
2 answers:
Explanation:
When an object moves in a circular path, centripetal force acts on it. The magnitude of centripetal acceleration is given by formula :
Here,
v is the speed of the ball in circular path
r is the radius of circular path
The centripetal acceleration is inversely proportional to the radius of the circular path. To increase the centripetal acceleration by a factor of 8, the radius must decrease by a factor of 8 keeping speed constant.
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Answer:
(a) nearsighted
(b) diverging
(c) the lens strength in diopters is 1.33 D, and considering the convention for divergent lenses normally prescribed as: -1 33 D
Explanation:
(a) The person is nearsighted because he/she cannot see objects at distances larger than 75 cm.
(b) the type of correcting lens has to be such that it counteracts the excessive converging power of the eye of the person, so the lens has to be diverging (which by the way carries by convention a negative focal length)
(c) the absolute value of the focal length (f) is given by the formula:
So it would normally be written with a negative signs in front indicating a divergent lens.